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Abstract: Genetic algorithms have been applied fairly successful to a number of optimization problems. Nevertheless, a common theory why and when they work is still missing. In this paper a theory is outlined which is based on the science of plant and animal breeding. A central part of the theory is the response to selection equation and the concept of heritability. A fundamental theorem states that the heritability is equal to the regression coefficient of parent to offspring. The theory is... (Update)
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BibTeX entry: (Update)
@misc{ hlenbein-analysis,
author = "Heinz Mühlenbein and Dirk Schlierkamp-Voosen",
title = "Analysis of Selection, Mutation and Recombination in Genetic Algorithms",
url = "citeseer.ist.psu.edu/730841.html" }
Citations (may not include all citations):1931 Adaptation in Natural and Artificial Systems (context) - Holland - 1975
1051 Optimization and Machine Learning (context) - Goldberg, in - 1989
275 Uniform crossover in genetic algorithms (context) - Syswerda - 1989
229 Evolutionsstrategie - Optimierung technischer Systeme nach P.. (context) - Rechenberg - 1973
221 Numerical Optimization of Computer Models (context) - Schwefel - 1981
126 The neutral theory of molecular evolution (context) - Kimura - 1983
92 The CHC Adaptive Search Algorithm: How to Have Safe Search w.. (context) - Eshelman - 1991
77 The science of breeding and its application to the breeder g.. - Muhlenbein, Schlierkamp-Voosen - 1994
73 The Genetical Theory of Natural Selection (context) - Fisher - 1958
60 An Introduction to Population Genetics Theory (context) - Crow, Kimura - 1970
54 Introduction to Quantitative Genetics (context) - Falconer - 1981
50 Evolution Algorithms in Combinatorial Optimization (context) - Muhlenbein, Gorges-Schleuter et al. - 1988
43 Messy genetic algorithms revisited: Studies in mixed size an.. (context) - Goldberg, Deb et al. - 1990
42 An Overview of Evolutionary Algorithms for Parameter Optimiz.. (context) - Back, Schwefel - 1993
42 and the sizing of populations (context) - Goldberg, noise - 1992
[Article contains additional citations not shown here]
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